How to "glue" a rigged model to an animation?
In Pose mode, there's an option to add Bone Constraints (Below the Bone Context).

Select Add Bone Constraint - Copy Rotation, and select the corresponding bone in the other rig as Target.
&quot;Corresponding&quot; is a bit arbitrary, since for example, the cowboy rig doesn't have hip bones. So you will need to play around a bit with the options available, like Invert.